// 数学建模 - 初中数学综合题型（50题）
// 已从动态生成转换为静态题目，确保准确性

interface Question {
  stem: string;
  difficulty: number;
  answer: (string | number)[];
  hint1: string;
  hint2: string;
  solution: string;
}

export const 数学建模_QUESTIONS: Question[] = [
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 3x + 12，当价格为6元时，销售量是多少件？",
    difficulty: 2,
    answer: [30],
    hint1: "代入x = 6",
    hint2: "y = 3 × 6 + 12",
    solution: "【解题】\ny = 3 × 6 + 12 = 30件\n\n答：销售量是30件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 4x + 14，当价格为7元时，销售量是多少件？",
    difficulty: 2,
    answer: [42],
    hint1: "代入x = 7",
    hint2: "y = 4 × 7 + 14",
    solution: "【解题】\ny = 4 × 7 + 14 = 42件\n\n答：销售量是42件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 5x + 16，当价格为8元时，销售量是多少件？",
    difficulty: 2,
    answer: [56],
    hint1: "代入x = 8",
    hint2: "y = 5 × 8 + 16",
    solution: "【解题】\ny = 5 × 8 + 16 = 56件\n\n答：销售量是56件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 6x + 18，当价格为9元时，销售量是多少件？",
    difficulty: 2,
    answer: [72],
    hint1: "代入x = 9",
    hint2: "y = 6 × 9 + 18",
    solution: "【解题】\ny = 6 × 9 + 18 = 72件\n\n答：销售量是72件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 7x + 20，当价格为10元时，销售量是多少件？",
    difficulty: 2,
    answer: [90],
    hint1: "代入x = 10",
    hint2: "y = 7 × 10 + 20",
    solution: "【解题】\ny = 7 × 10 + 20 = 90件\n\n答：销售量是90件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 8x + 22，当价格为11元时，销售量是多少件？",
    difficulty: 2,
    answer: [110],
    hint1: "代入x = 11",
    hint2: "y = 8 × 11 + 22",
    solution: "【解题】\ny = 8 × 11 + 22 = 110件\n\n答：销售量是110件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 9x + 24，当价格为12元时，销售量是多少件？",
    difficulty: 2,
    answer: [132],
    hint1: "代入x = 12",
    hint2: "y = 9 × 12 + 24",
    solution: "【解题】\ny = 9 × 12 + 24 = 132件\n\n答：销售量是132件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 10x + 26，当价格为13元时，销售量是多少件？",
    difficulty: 2,
    answer: [156],
    hint1: "代入x = 13",
    hint2: "y = 10 × 13 + 26",
    solution: "【解题】\ny = 10 × 13 + 26 = 156件\n\n答：销售量是156件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 11x + 28，当价格为14元时，销售量是多少件？",
    difficulty: 2,
    answer: [182],
    hint1: "代入x = 14",
    hint2: "y = 11 × 14 + 28",
    solution: "【解题】\ny = 11 × 14 + 28 = 182件\n\n答：销售量是182件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 12x + 30，当价格为15元时，销售量是多少件？",
    difficulty: 2,
    answer: [210],
    hint1: "代入x = 15",
    hint2: "y = 12 × 15 + 30",
    solution: "【解题】\ny = 12 × 15 + 30 = 210件\n\n答：销售量是210件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 13x + 32，当价格为16元时，销售量是多少件？",
    difficulty: 2,
    answer: [240],
    hint1: "代入x = 16",
    hint2: "y = 13 × 16 + 32",
    solution: "【解题】\ny = 13 × 16 + 32 = 240件\n\n答：销售量是240件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 14x + 34，当价格为17元时，销售量是多少件？",
    difficulty: 2,
    answer: [272],
    hint1: "代入x = 17",
    hint2: "y = 14 × 17 + 34",
    solution: "【解题】\ny = 14 × 17 + 34 = 272件\n\n答：销售量是272件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 15x + 36，当价格为18元时，销售量是多少件？",
    difficulty: 2,
    answer: [306],
    hint1: "代入x = 18",
    hint2: "y = 15 × 18 + 36",
    solution: "【解题】\ny = 15 × 18 + 36 = 306件\n\n答：销售量是306件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 16x + 38，当价格为19元时，销售量是多少件？",
    difficulty: 2,
    answer: [342],
    hint1: "代入x = 19",
    hint2: "y = 16 × 19 + 38",
    solution: "【解题】\ny = 16 × 19 + 38 = 342件\n\n答：销售量是342件。"
  },
  {
    stem: "某商品的销售量y（件）与价格x（元）的关系为y = 17x + 40，当价格为20元时，销售量是多少件？",
    difficulty: 2,
    answer: [380],
    hint1: "代入x = 20",
    hint2: "y = 17 × 20 + 40",
    solution: "【解题】\ny = 17 × 20 + 40 = 380件\n\n答：销售量是380件。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 1.5t² -3t + 13，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["13.0"],
    hint1: "代入t = 2",
    hint2: "h = 1.5 × 2² -3 × 2 + 13",
    solution: "【解题】\nh = 1.5 × 2² -3 × 2 + 13\n= 6 -6 + 13\n= 13.0米\n\n答：高度是13.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 2t² -4t + 16，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["16.0"],
    hint1: "代入t = 2",
    hint2: "h = 2 × 2² -4 × 2 + 16",
    solution: "【解题】\nh = 2 × 2² -4 × 2 + 16\n= 8 -8 + 16\n= 16.0米\n\n答：高度是16.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 2.5t² -5t + 19，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["19.0"],
    hint1: "代入t = 2",
    hint2: "h = 2.5 × 2² -5 × 2 + 19",
    solution: "【解题】\nh = 2.5 × 2² -5 × 2 + 19\n= 10 -10 + 19\n= 19.0米\n\n答：高度是19.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 3t² -6t + 22，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["22.0"],
    hint1: "代入t = 2",
    hint2: "h = 3 × 2² -6 × 2 + 22",
    solution: "【解题】\nh = 3 × 2² -6 × 2 + 22\n= 12 -12 + 22\n= 22.0米\n\n答：高度是22.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 3.5t² -7t + 25，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["25.0"],
    hint1: "代入t = 2",
    hint2: "h = 3.5 × 2² -7 × 2 + 25",
    solution: "【解题】\nh = 3.5 × 2² -7 × 2 + 25\n= 14 -14 + 25\n= 25.0米\n\n答：高度是25.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 4t² -8t + 28，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["28.0"],
    hint1: "代入t = 2",
    hint2: "h = 4 × 2² -8 × 2 + 28",
    solution: "【解题】\nh = 4 × 2² -8 × 2 + 28\n= 16 -16 + 28\n= 28.0米\n\n答：高度是28.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 4.5t² -9t + 31，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["31.0"],
    hint1: "代入t = 2",
    hint2: "h = 4.5 × 2² -9 × 2 + 31",
    solution: "【解题】\nh = 4.5 × 2² -9 × 2 + 31\n= 18 -18 + 31\n= 31.0米\n\n答：高度是31.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 5t² -10t + 34，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["34.0"],
    hint1: "代入t = 2",
    hint2: "h = 5 × 2² -10 × 2 + 34",
    solution: "【解题】\nh = 5 × 2² -10 × 2 + 34\n= 20 -20 + 34\n= 34.0米\n\n答：高度是34.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 5.5t² -11t + 37，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["37.0"],
    hint1: "代入t = 2",
    hint2: "h = 5.5 × 2² -11 × 2 + 37",
    solution: "【解题】\nh = 5.5 × 2² -11 × 2 + 37\n= 22 -22 + 37\n= 37.0米\n\n答：高度是37.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 6t² -12t + 40，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["40.0"],
    hint1: "代入t = 2",
    hint2: "h = 6 × 2² -12 × 2 + 40",
    solution: "【解题】\nh = 6 × 2² -12 × 2 + 40\n= 24 -24 + 40\n= 40.0米\n\n答：高度是40.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 6.5t² -13t + 43，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["43.0"],
    hint1: "代入t = 2",
    hint2: "h = 6.5 × 2² -13 × 2 + 43",
    solution: "【解题】\nh = 6.5 × 2² -13 × 2 + 43\n= 26 -26 + 43\n= 43.0米\n\n答：高度是43.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 7t² -14t + 46，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["46.0"],
    hint1: "代入t = 2",
    hint2: "h = 7 × 2² -14 × 2 + 46",
    solution: "【解题】\nh = 7 × 2² -14 × 2 + 46\n= 28 -28 + 46\n= 46.0米\n\n答：高度是46.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 7.5t² -15t + 49，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["49.0"],
    hint1: "代入t = 2",
    hint2: "h = 7.5 × 2² -15 × 2 + 49",
    solution: "【解题】\nh = 7.5 × 2² -15 × 2 + 49\n= 30 -30 + 49\n= 49.0米\n\n答：高度是49.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 8t² -16t + 52，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["52.0"],
    hint1: "代入t = 2",
    hint2: "h = 8 × 2² -16 × 2 + 52",
    solution: "【解题】\nh = 8 × 2² -16 × 2 + 52\n= 32 -32 + 52\n= 52.0米\n\n答：高度是52.0米。"
  },
  {
    stem: "某物体的高度h（米）与时间t（秒）的关系为h = 8.5t² -17t + 55，当t = 2秒时，高度是多少米？",
    difficulty: 3,
    answer: ["55.0"],
    hint1: "代入t = 2",
    hint2: "h = 8.5 × 2² -17 × 2 + 55",
    solution: "【解题】\nh = 8.5 × 2² -17 × 2 + 55\n= 34 -34 + 55\n= 55.0米\n\n答：高度是55.0米。"
  },
  {
    stem: "某种细菌初始数量为110个，每年增长11%，3年后数量约为多少个？",
    difficulty: 3,
    answer: [150],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 110 × (1 + 0.11)^3",
    solution: "【解题】\nN = 110 × (1 + 0.11)^3\n≈ 150个\n\n答：约为150个。"
  },
  {
    stem: "某种细菌初始数量为120个，每年增长12%，4年后数量约为多少个？",
    difficulty: 3,
    answer: [189],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 120 × (1 + 0.12000000000000001)^4",
    solution: "【解题】\nN = 120 × (1 + 0.12000000000000001)^4\n≈ 189个\n\n答：约为189个。"
  },
  {
    stem: "某种细菌初始数量为130个，每年增长13%，5年后数量约为多少个？",
    difficulty: 3,
    answer: [240],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 130 × (1 + 0.13)^5",
    solution: "【解题】\nN = 130 × (1 + 0.13)^5\n≈ 240个\n\n答：约为240个。"
  },
  {
    stem: "某种细菌初始数量为140个，每年增长14%，6年后数量约为多少个？",
    difficulty: 3,
    answer: [307],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 140 × (1 + 0.14)^6",
    solution: "【解题】\nN = 140 × (1 + 0.14)^6\n≈ 307个\n\n答：约为307个。"
  },
  {
    stem: "某种细菌初始数量为150个，每年增长15%，7年后数量约为多少个？",
    difficulty: 3,
    answer: [399],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 150 × (1 + 0.15000000000000002)^7",
    solution: "【解题】\nN = 150 × (1 + 0.15000000000000002)^7\n≈ 399个\n\n答：约为399个。"
  },
  {
    stem: "某种细菌初始数量为160个，每年增长16%，8年后数量约为多少个？",
    difficulty: 3,
    answer: [525],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 160 × (1 + 0.16)^8",
    solution: "【解题】\nN = 160 × (1 + 0.16)^8\n≈ 525个\n\n答：约为525个。"
  },
  {
    stem: "某种细菌初始数量为170个，每年增长17%，9年后数量约为多少个？",
    difficulty: 3,
    answer: [698],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 170 × (1 + 0.17)^9",
    solution: "【解题】\nN = 170 × (1 + 0.17)^9\n≈ 698个\n\n答：约为698个。"
  },
  {
    stem: "某种细菌初始数量为180个，每年增长18%，10年后数量约为多少个？",
    difficulty: 3,
    answer: [942],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 180 × (1 + 0.18)^10",
    solution: "【解题】\nN = 180 × (1 + 0.18)^10\n≈ 942个\n\n答：约为942个。"
  },
  {
    stem: "某种细菌初始数量为190个，每年增长19%，11年后数量约为多少个？",
    difficulty: 3,
    answer: [1288],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 190 × (1 + 0.19)^11",
    solution: "【解题】\nN = 190 × (1 + 0.19)^11\n≈ 1288个\n\n答：约为1288个。"
  },
  {
    stem: "某种细菌初始数量为200个，每年增长20%，12年后数量约为多少个？",
    difficulty: 3,
    answer: [1783],
    hint1: "指数增长公式：N = N₀(1 + r)ᵗ",
    hint2: "N = 200 × (1 + 0.2)^12",
    solution: "【解题】\nN = 200 × (1 + 0.2)^12\n≈ 1783个\n\n答：约为1783个。"
  },
  {
    stem: "某工厂生产产品的固定成本为1100元，每件产品的变动成本为12元，生产60件产品的总成本是多少元？",
    difficulty: 2,
    answer: [1820],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1100 + 12 × 60",
    solution: "【解题】\n总成本 = 1100 + 12 × 60\n= 1100 + 720\n= 1820元\n\n答：总成本是1820元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1200元，每件产品的变动成本为14元，生产70件产品的总成本是多少元？",
    difficulty: 2,
    answer: [2180],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1200 + 14 × 70",
    solution: "【解题】\n总成本 = 1200 + 14 × 70\n= 1200 + 980\n= 2180元\n\n答：总成本是2180元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1300元，每件产品的变动成本为16元，生产80件产品的总成本是多少元？",
    difficulty: 2,
    answer: [2580],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1300 + 16 × 80",
    solution: "【解题】\n总成本 = 1300 + 16 × 80\n= 1300 + 1280\n= 2580元\n\n答：总成本是2580元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1400元，每件产品的变动成本为18元，生产90件产品的总成本是多少元？",
    difficulty: 2,
    answer: [3020],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1400 + 18 × 90",
    solution: "【解题】\n总成本 = 1400 + 18 × 90\n= 1400 + 1620\n= 3020元\n\n答：总成本是3020元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1500元，每件产品的变动成本为20元，生产100件产品的总成本是多少元？",
    difficulty: 2,
    answer: [3500],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1500 + 20 × 100",
    solution: "【解题】\n总成本 = 1500 + 20 × 100\n= 1500 + 2000\n= 3500元\n\n答：总成本是3500元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1600元，每件产品的变动成本为22元，生产110件产品的总成本是多少元？",
    difficulty: 2,
    answer: [4020],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1600 + 22 × 110",
    solution: "【解题】\n总成本 = 1600 + 22 × 110\n= 1600 + 2420\n= 4020元\n\n答：总成本是4020元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1700元，每件产品的变动成本为24元，生产120件产品的总成本是多少元？",
    difficulty: 2,
    answer: [4580],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1700 + 24 × 120",
    solution: "【解题】\n总成本 = 1700 + 24 × 120\n= 1700 + 2880\n= 4580元\n\n答：总成本是4580元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1800元，每件产品的变动成本为26元，生产130件产品的总成本是多少元？",
    difficulty: 2,
    answer: [5180],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1800 + 26 × 130",
    solution: "【解题】\n总成本 = 1800 + 26 × 130\n= 1800 + 3380\n= 5180元\n\n答：总成本是5180元。"
  },
  {
    stem: "某工厂生产产品的固定成本为1900元，每件产品的变动成本为28元，生产140件产品的总成本是多少元？",
    difficulty: 2,
    answer: [5820],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "1900 + 28 × 140",
    solution: "【解题】\n总成本 = 1900 + 28 × 140\n= 1900 + 3920\n= 5820元\n\n答：总成本是5820元。"
  },
  {
    stem: "某工厂生产产品的固定成本为2000元，每件产品的变动成本为30元，生产150件产品的总成本是多少元？",
    difficulty: 2,
    answer: [6500],
    hint1: "总成本 = 固定成本 + 变动成本 × 数量",
    hint2: "2000 + 30 × 150",
    solution: "【解题】\n总成本 = 2000 + 30 × 150\n= 2000 + 4500\n= 6500元\n\n答：总成本是6500元。"
  }
];

export default 数学建模_QUESTIONS;
